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Finding the Fourth Proportional to 98,287.40, 147,212.40 and 85,165.40

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Solution

The fourth proportional to 98,287.40, 147,212.40 and 85,165.40 is: 127,558.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,287.40 : 147,212.40 = 85,165.40 : x
  2. Step 2: Convert to fraction form
    98,287.40/147,212.40 = 85,165.40/x
  3. Step 3: Cross multiply
    98,287.40x = 147,212.40 × 85,165.40
  4. Step 4: Simplify right side
    98,287.40x = 12,537,402,930.96
  5. Step 5: Solve for x
    x = 12,537,402,930.96/98,287.40
  6. Step 6: Final answer
    x = 127,558.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.